We estimate (and share the R-code of all calculations here) the Gender Influence on hourly Wages through time, by using multilevel modeling (frequentist and Bayesian style), while accounting for multiple factors of social, demographic, economic nature and for complex correlation structures of the observations. See a working paper based on the early version of this code at: http://hagstofan.s3.amazonaws.com/media/public/2021/2b7b1b12-47b5-4dfd-b1af-97437a20c243.pdf